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secondary 3 | A Maths
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LockB
LockB

secondary 3 chevron_right A Maths chevron_right Singapore

need help with this qn, pls explain too

Date Posted: 3 years ago
Views: 171
Eric Nicholas K
Eric Nicholas K
3 years ago
LockB, something is not right with the question.

If you use the idea of similar triangles, x will be 78 deg since the corresponding length ratios are all 1 : 4.

If you use cosine rule (have you learnt it?), you get 82.8 deg.

I am thinking they want the 78 deg answer, but then again...
Eric Nicholas K
Eric Nicholas K
3 years ago
Need me to demo the cosine rule? (Cosine rule is Sec 3 trigo topic so I am not sure if your school has covered it)
LockB
LockB
3 years ago
i havent learn the cosine rule but im interested to know what is it, can you demo for me? thx :)

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
This is the cosine rule, which you will learn together with the sine rule. The two formulae are used to find lengths or angles in any triangle, not just right angled ones.

Having said that, I believe that the question wants you to put x = 78, since you have not learnt cosine rule but you have learnt similar triangles.
LockB
LockB
3 years ago
a and b is no longer the hypotenuse and adjacent line of the triangle as there is no more right angle?
Eric Nicholas K
Eric Nicholas K
3 years ago
For right angled triangles where you pick one of the non-right angled triangles, you have one opposite and two adjacents, correct?

(Adjacent means “to the side”)

One of the adjacents will be the longest length of the triangle and it’s called the hypotenuse. The other is just an ordinary adjacent. Correct?

With a non-right angled triangle, the two adjacents are just ordinary adjacents.
LockB
LockB
3 years ago
does that mean we can randomly pick one of the 2 lines to be a and b, like theres no fixed line to be a and to be b
Eric Nicholas K
Eric Nicholas K
3 years ago
The a and b can be any of the two adjacent sides, but the c must be strictly the opposite, in the formula

c2 = a2 + b2 - 2ab cos C

But if your school teaches you

a2 = b2 + c2 - 2bc cos A

instead, then the “a” is the one in the opposite
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
This is probably what the question actually wants, but then again, this would mean a data mismatch to the question.